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Finding the Fourth Proportional to 390.69, 585.74 and 236.59

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Solution

The fourth proportional to 390.69, 585.74 and 236.59 is: 354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.69 : 585.74 = 236.59 : x
  2. Step 2: Convert to fraction form
    390.69/585.74 = 236.59/x
  3. Step 3: Cross multiply
    390.69x = 585.74 × 236.59
  4. Step 4: Simplify right side
    390.69x = 138,580.23
  5. Step 5: Solve for x
    x = 138,580.23/390.69
  6. Step 6: Final answer
    x = 354.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.